EduMatika: Jurnal MIPA

Analysis of Indonesian population mortality based on life table for estimating net premiums for term life insurance

2026-04-12T16:06:12+07:00

Accurate determination of life insurance premiums requires mortality data that is representative of the characteristics of the insured population. This study aims to analyze the mortality patterns of the Indonesian population based on ASDR data from the SP2020 of the Central Statistics Agency, and apply it in estimating net premiums for term life insurance. The methods used include converting ASDR to probability of death (qx), reconstructing a 5-year abridged life table for productive ages 25–60 years, calculating the actuarial present value (APV) of death benefits, life annuity due, and net premiums based on the actuarial equivalence principle. The discount rate used is 5% with a sum insured of Rp100,000,000 and a policy term of 10 years. The results show that the qx value is relatively constant at 0.00264 in the age range of 25–46 years, then increases significantly to 0.02610 at age 60. The annual net premium for ages 25–46 years is recorded as stable at Rp251,428.57 and increases sharply to Rp467,838.75 at age 49. This study contributes to providing the first publicly accessible proxy life table from the 2020 Population Census aggregate data as an alternative to the Indonesian Mortality Table (TMI).

Mapping of District-Based Poverty Levels Using Spatial Analysis in Medan City

2026-04-20T06:42:06+07:00

This study aims to map poverty levels based on sub-districts in the City of Medan using a descriptive quantitative approach and spatial analysis. The data used consists of population numbers, the number of poor people, and poverty percentages in 21 sub-districts in 2023, obtained from the Medan City BPS. Analysis was conducted through descriptive statistics, Natural Breaks (Jenks) classification, and choropleth map visualization. The results of the study show that the average poverty level in Medan City is 10.10% with a clear spatial clustering pattern. Northern areas such as Medan Belawan, Medan Labuhan, Medan Marelan, and Medan Deli have high to very high poverty levels, while central and southern areas tend to be lower. These findings indicate spatial disparities between regions and can serve as a basis for more targeted poverty alleviation policies.

Comparison of the determination of the net single premium of endowment life insurance using the continuous and discrete annuity approaches: a case study of select and ultimate tables

2026-04-21T13:04:03+07:00

This study compares the calculation of net single premium of endowment life insurance between discrete annuity and continuous annuity approaches using Select and Ultimate Table. Mortality data used is 2015 CSO Male Non-Smoker ANB (Age Nearest Birthday) which has gone through a pre-processing process, including the value of k?[x] for the entry age range of 20 to 50 years. Calculations are performed on four policy terms, namely 10, 15, 20, and 25 years, assuming a single interest rate i = 5% per year. The continuous approach uses the Uniform Distribution of Deaths (UDD) approximation. The results show that the average absolute difference between the two methods ranges from 0.000083 (n = 10) to 0.000559 (n = 25), while the average relative difference ranges from 0.0135% (n = 10) to 0.1804% (n = 25). The differences increase with increasing entry age and policy term, but all values ??are well below the 1% actuarial materiality threshold. This finding indicates that both approaches can be used interchangeably within the age and term ranges studied, with the caveat that generalizing the results beyond these parameters requires further study.